{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.array([[1, 2], [1, 4], [1, 0],\n",
    "[10, 2], [10, 4], [10, 0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans = KMeans(n_clusters=2, random_state=0).fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 1, 0, 0, 0])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 0])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.predict([[0, 1], [11, 4]]) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[10.,  2.],\n",
       "       [ 1.,  2.]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "from sklearn.cluster import KMeans \n",
    "from sklearn.datasets import make_blobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_samples = 1800\n",
    "random_state = 170\n",
    "X, y = make_blobs(n_samples=n_samples, random_state=random_state)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = KMeans(n_clusters=2, random_state=random_state).fit_predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Incorrect Number of Blobs')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred) \n",
    "plt.title(\"Incorrect Number of Blobs\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#旋转数据\n",
    "transformation = [[0.60834549, -0.636673411], [-0.40887718, 0.85253229]]\n",
    "X_aniso = np.dot(X,transformation) \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = KMeans(n_clusters=3, random_state=random_state) .fit_predict(X_aniso)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Anisotropicly Distributed Blobs')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_aniso[:,0], X_aniso[:, 1], c=y_pred) \n",
    "plt.title( \"Anisotropicly Distributed Blobs\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_varied, y_varied=make_blobs(n_samples=n_samples,\n",
    "                            cluster_std=[1.0, 3, 0.5], \n",
    "                            random_state=random_state)\n",
    "y_pred = KMeans(n_clusters=3, random_state=random_state).fit_predict(X_varied)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Unequal Variance')"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_varied[:, 0], X_varied[:, 1], c=y_pred)\n",
    "plt.title (\"Unequal Variance\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_filtered = np.vstack((X[y == 0][:500], X[y == 1][:100], X[y == 2][:10]))\n",
    "y_pred = KMeans(n_clusters=3, \n",
    "                random_state=random_state).fit_predict(X_filtered)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Unevenly Sized Blobs')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_filtered[:, 0], X_filtered[:, 1], c=y_pred) \n",
    "plt.title(\"Unevenly Sized Blobs\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "X=np.array([[1,3],[2,4],[1,1],[4,4],[4,6],[3,0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AgglomerativeClustering()"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clustering=AgglomerativeClustering().fit(X)\n",
    "clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 1, 0, 0, 1], dtype=int64)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clustering.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.spatial.distance import pdist,squareform\n",
    "from scipy.cluster.hierarchy import linkage\n",
    "from scipy.cluster.hierarchy import dendrogram\n",
    "from sklearn.cluster import AgglomerativeClustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             X         Y         Z\n",
      "ID_0  9.793196  7.718256  9.660206\n",
      "ID_1  0.302493  3.747096  5.467355\n",
      "ID_2  4.914474  9.973321  5.560911\n",
      "ID_3  6.220162  1.884603  5.432622\n",
      "ID_4  5.496348  6.225305  9.149547\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(1145)\n",
    "variables =['X','Y','Z']\n",
    "labels=['ID_0','ID_1','ID_2','ID_3','ID_4']\n",
    "X=np.random.random_sample([5,3])*10\n",
    "df = pd.DataFrame(X,columns=variables,index=labels)\n",
    "print (df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           row label1  row label2   distance  no.of items in clust.\n",
      "cluster 1         0.0         4.0   4.577399                    2.0\n",
      "cluster 2         1.0         3.0   6.203943                    2.0\n",
      "cluster 3         2.0         5.0   6.759546                    3.0\n",
      "cluster 4         6.0         7.0  11.109615                    5.0\n"
     ]
    }
   ],
   "source": [
    "row_clusters = linkage(pdist(df,metric='euclidean'),method='complete')\n",
    "print(pd.DataFrame(row_clusters,\n",
    "     columns=['row label1','row label2','distance','no.of items in clust.'],\n",
    "     index=['cluster %d'%(i+1) for i in range(row_clusters.shape[0])]))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "row_dendr = dendrogram(row_clusters, labels=labels)\n",
    "plt.tight_layout()\n",
    "plt.ylabel('Euclidean distance')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.array([[2,2],[3,2],[2,5],\n",
    "             [9,7],[8,8],[55,87]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DBSCAN(eps=3, min_samples=2)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clustering = DBSCAN(eps=3, min_samples=2).fit(X)\n",
    "clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0,  0,  0,  1,  1, -1], dtype=int64)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clustering.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Users\\GYU\\anaconda3\\lib\\site-packages\\sklearn\\utils\\deprecation.py:143: FutureWarning: The sklearn.datasets.samples_generator module is  deprecated in version 0.22 and will be removed in version 0.24. The corresponding classes / functions should instead be imported from sklearn.datasets. Anything that cannot be imported from sklearn.datasets is now part of the private API.\n",
      "  warnings.warn(message, FutureWarning)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn.cluster import DBSCAN\n",
    "from sklearn import metrics\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "centers = [[1,1],[-1,1],[1,-1]]\n",
    "X,labels_true = make_blobs(n_samples=950,centers=centers,cluster_std=0.4,\n",
    "                          random_state=0)\n",
    "X = StandardScaler().fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "db=DBSCAN(eps=0.3, min_samples=10).fit(X)\n",
    "core_samples_mask = np.zeros_like(db.labels_, dtype=bool)\n",
    "core_samples_mask[db.core_sample_indices_]= True\n",
    "labels = db.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "估计的聚类个数:2\n",
      "估计的噪声点个数:16\n"
     ]
    }
   ],
   "source": [
    "n_clusters_= len(set(labels)) - (1 if -1 in labels else 0)\n",
    "n_noise_= list(labels).count(-1)\n",
    "print('估计的聚类个数:%d'% n_clusters_)\n",
    "print('估计的噪声点个数:%d'% n_noise_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "unique_labels = set(labels)\n",
    "colors = [ plt.cm.Spectral(each)\n",
    "        for each in np.linspace(0, 1, len(unique_labels))]\n",
    "for k, col in zip(unique_labels, colors):\n",
    "    if k == -1:\n",
    "        col =[0, 0, 0, 1]\n",
    "    class_member_mask =(labels == k)\n",
    "    xy = X[class_member_mask & core_samples_mask]\n",
    "    plt.plot(xy[:, 0], xy[:, 1],'o', markerfacecolor=tuple(col),\n",
    "             markeredgecolor='k', markersize=14)\n",
    "    xy = X[class_member_mask & ~core_samples_mask]\n",
    "    plt.plot(xy[:, 0], xy[:, 1],'o', markerfacecolor=tuple(col),\n",
    "             markeredgecolor='k', markersize=6)\n",
    "plt.title('Estimated number of clusters: %d'% n_clusters_)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
